105344510329 has 2 divisors, whose sum is σ = 105344510330. Its totient is φ = 105344510328.

The previous prime is 105344510311. The next prime is 105344510357. The reversal of 105344510329 is 923015443501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105040810000 + 303700329 = 324100^2 + 17427^2 .

It is a cyclic number.

It is not a de Polignac number, because 105344510329 - 2²⁷ = 105210292601 is a prime.

It is a super-2 number, since 2×105344510329² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105344510389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52672255164 + 52672255165.

It is an arithmetic number, because the mean of its divisors is an integer number (52672255165).

Almost surely, 2^105344510329 is an apocalyptic number.

It is an amenable number.

105344510329 is a deficient number, since it is larger than the sum of its proper divisors (1).

105344510329 is an equidigital number, since it uses as much as digits as its factorization.

105344510329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 105344510329 in words is "one hundred five billion, three hundred forty-four million, five hundred ten thousand, three hundred twenty-nine".